Abstract
In Higgs and Humphreys [7], the 2-groups that realize all their possible projective character degree patterns were classified. The p-groups of order p n , for n ≤ 4 and p odd, that satisfy this property are also all known. In this article, we will complete the classification of all p-groups that have this property. This will be achieved by showing that a p-group of order p n , for n ≥ 5 and p odd, cannot realize all its possible projective character degree patterns.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
